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Finding the Third Proportional to 87,796 and 192,320

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Solution

The third proportional to 87,796 and 192,320 is: 421,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,796 : 192,320 = 192,320 : x
  2. Step 2: Convert to fraction form
    87,796/192,320 = 192,320/x
  3. Step 3: Cross multiply
    87,796x = 192,320 × 192,320
  4. Step 4: Simplify right side
    87,796x = 36,986,982,400
  5. Step 5: Solve for x
    x = 36,986,982,400/87,796
  6. Step 6: Final answer
    x = 421,283.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.